Γ–convergence for nearly incompressible fluids-Reference-Cited by-同舟云学术

Γ–convergence for nearly incompressible fluids

Published:2023-09-01 Issue:9 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Bella Peter¹^ORCID,Feireisl Eduard²^ORCID,Oschmann Florian²^ORCID

Affiliation:

1. TU Dortmund, Fakultät für Mathematik 1 , Vogelpothsweg 87, 44227 Dortmund, Germany

2. Institute of Mathematics of the Academy of Sciences of the Czech Republic 2 , Žitná 25, CZ-115 67 Praha 1, Czech Republic

Abstract

We consider the time-dependent compressible Navier–Stokes equations in the low Mach number regime in a family of domains Ωɛ ⊂ Rd converging in the sense of Mosco to a domain Ω ⊂ Rd, d ∈ {2, 3}. We show the limit is the incompressible Navier–Stokes system in Ω.

Funder

Grantová Agentura České Republiky

Deutsche Forschungsgemeinschaft

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0138650/18138971/091507_1_5.0138650.pdf

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